2 papers
math.CA2020
A New Spectral Analysis of the Sixth-order Krall Differential Expression
K. Elliott, L. L. Littlejohn, R. Wellman
In this paper, we construct a self-adjoint operator T generated by the sixth-order Krall differential expression in the extended Hilbert space L^2(-1,1) + C^2. To obtain T, we appl…
math.CA2017
Differential operator for discrete Gegenbauer--Sobolev orthogonal polynomials: eigenvalues and asymptotics
Lance L. Littlejohn, Juan F. Mañas-Mañas, Juan J. Moreno--Balcázar +1
We consider the following discrete Sobolev inner product involving the Gegenbauer weight $$(f,g)_S:=\int_{-1}^1f(x)g(x)(1-x^2)^αdx+M\big[f^{(j)}(-1)g^{(j)}(-1)+f^{(j)}(1)g^{(j)}(1)…